Atkin-Lehner |
5+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
95665a |
Isogeny class |
Conductor |
95665 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
213840 |
Modular degree for the optimal curve |
Δ |
311678961625 = 53 · 196 · 53 |
Discriminant |
Eigenvalues |
1 0 5+ 2 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49705,-4252800] |
[a1,a2,a3,a4,a6] |
Generators |
[73715493635181451292932:13688360079932177628811642:2126230989465050369] |
Generators of the group modulo torsion |
j |
288673724529/6625 |
j-invariant |
L |
6.1696203007644 |
L(r)(E,1)/r! |
Ω |
0.319742026829 |
Real period |
R |
38.591237735531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
265a1 |
Quadratic twists by: -19 |